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ITMC 2018 Grade 3 National Preliminary set01 Question 30

ITMC · ITMC 2018 Grade 3 National Preliminary set01

Question 30

Optional bonus question: correct 20, incorrect −7, blank 0.

Answer format: Round a noninteger answer to the nearest integer. If the calculated answer has more than five digits, give its last five digits.

Mary writes a row of four different digits, each from 0 to 9. David guesses the row. Mary reports how many guessed digits occur anywhere in her row and how many are also in the correct position. For example, secret 2561 and guess 2018 give 2 right digits (2 and 1) and 1 right position (the first 2). Five guesses and replies are shown: 2345 → (1 right digit, 1 right position); 6789 → (1,1); 0123 → (3,0); 1037 → (2,1); 2061 → (3,3). What is Mary’s row of four digits?

Question illustration